Geodesic
Solution of quantum Gel'fand–Levitan–Marchenko equations for the sine-Gordon model with $\gamma=\pi/\nu$
Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 3, pp. 341-350 
F. A. Smirnov. Solution of quantum Gel'fand–Levitan–Marchenko equations for the sine-Gordon model with $\gamma=\pi/\nu$. Teoretičeskaâ i matematičeskaâ fizika, Tome 71 (1987) no. 3, pp. 341-350. http://geodesic.mathdoc.fr/item/TMF_1987_71_3_a3/
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     author = {F. A. Smirnov},
     title = {Solution of quantum {Gel'fand{\textendash}Levitan{\textendash}Marchenko} equations for the {sine-Gordon} model with $\gamma=\pi/\nu$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {341--350},
     year = {1987},
     volume = {71},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1987_71_3_a3/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

General solution of quantum Gelfand–Levitan–Marchenko equations for sine-Gordon model with $\gamma=\pi/\nu$ ($\nu$ being integer) is obtained. Matrix elements of operators $ехр(\pm i\sqrt{2\gamma}\times u(x_0, x_1))$ between the vacuum and arbitrary state are calculated. The series for two-point Green functions are obtained. The coincidence with the case of free massive Fermi field for $\gamma=\pi/2$ is verified. The possibility of obtaining similar formulas for other local operators is discussed.

[1] Smirnov F. A., TMF, 60:3 (1984), 356–371 | MR

[2] Smirnov F. A., J. Phys. A, 17 (1984), L873–878 | DOI | MR

[3] Smirnov F. A., TMF, 67:1 (1986), 40–51 | MR

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